I would argue that you are looking at the effects of immigration through the wrong end of the telescope.
Immigrants are net economic contributors.
Top-down funding decisions about paying for - or rather, not paying for - public goods such as housing, and public services such as health and education, strain the social fabric, not immigrants.
Our decades- (centuries?) long culture of rewarding the already rich with unearned wealth, rather than fairly and adequately paying workers for their labour is not driven by immigrants.
The asset-owning class chooses to keep wages low, partly by using immigrant labour and pitching 'us' and 'them' into economic competition. In this race to the bottom all but the asset rich lose out. Their wealth has ballooned in recent years while the rest of us have got poorer.
The blatant disregard of, and contempt for, the common good by the rich and powerful has helped to erode our sense of trust in, and loyalty to our nation, and decimated our wish to fight for it.
I accept that dislike of mass immigration is a powerful motivating force for many people. However the pressures that cause and contribute to it are increasing not decreasing, and I think that battling against those is futile.
I agree that austerity is here to stay unless Labour is willing to implement radical economic reforms.